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Proving linearly independent set

  1. Nov 11, 2013 #1
    1. Prove that if A is symmetric and B is skew-symmetric, then {A,B} is a linearly independent set.

    I am going to need some help to solve this. Not sure how to begin.


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. Nov 11, 2013 #2

    Dick

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    Try stating the definition of what linear independence means applied to {A,B}. What happens if you take a transpose?
     
  4. Nov 11, 2013 #3
    in short the definition leads to the solution only being the trivial solution.
     
  5. Nov 11, 2013 #4

    Dick

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    I would hope so. That's what linear independence means, if I'm deciphering your response correctly.
     
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